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arXiv · 1611.09902

A nonlocal concave-convex problem with nonlocal mixed boundary data

Boumediene Abdellaoui·Abdelrazek Dieb·Enrico Valdinoci
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Abstract

The aim of this paper is to study a nonlocal problem with a mixed Dirichlet-Neumann exterior condition. We prove existence, nonexistence and multiplicity of positive energy solutions and describe the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data.

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Boumediene Abdellaoui, Abdelrazek Dieb, Enrico Valdinoci. 2016-11-29. A nonlocal concave-convex problem with nonlocal mixed boundary data. https://arxiv.org/abs/1611.09902

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